Born in Monterrey, Mexico.
Katia Carranza graduated from the Escuela Superior de Musica y Danza de Monterrey in Mexico in 1996. She then joined Ballet de Monterrey as a soloist.
In 1998, she joined MCB as a corps de ballet dancer, was promoted to soloist in 2001, principal soloist in 2003 and in 2004 she was promoted to principal dancer. She left after the 2006-07 season to rejoin Ballet de Monterrey as a principal, but continued to dance with MCB as a guest artist for an additional six seasons.
During her career, Carranza has participated in national and international ballet competitions such as the Concurso Nacional in Guadalajara, Mexico (1994) and the Concurso Internacional in Cuba (1995) where she won silver medals in both. In 1998, she was a finalist at the International Ballet Competition in Jackson, Miss., and in 2002 won the bronze medal in the same competition.
Carranza rejoins MCB full-time in 2017 as a principal dancer.